6783 ÷ 5 = 1356 R3
We're going to perform division on 6783 with 5 as the divisor.

Step 1:
5 goes into 6 1 times with a remainder of 1.
Write down 1 as next digit of of the result. 
Result so far: 1
Subtract 5 from 6 to get 1.
Bring next digit (7) of the dividend behind the 1 and repeat the process: 17 / 5

Step 2:
5 goes into 17 3 times with a remainder of 2.
Write down 3 as next digit of of the result. 
Result so far: 13
Subtract 15 from 17 to get 2.
Bring next digit (8) of the dividend behind the 2 and repeat the process: 28 / 5

Step 3:
5 goes into 28 5 times with a remainder of 3.
Write down 5 as next digit of of the result. 
Result so far: 135
Subtract 25 from 28 to get 3.
Bring next digit (3) of the dividend behind the 3 and repeat the process: 33 / 5

Step 4:
5 goes into 33 6 times with a remainder of 3.
Write down 6 as next digit of of the result. 
Result so far: 1356
Subtract 30 from 33 to get 3.

The final result is 1356 with a remainder of 3.